An organic compound ‘X’ having molecular formula ${\mathrm{C}}_6{\mathrm{H}}_7{\mathrm{O}}_2$ N has ‘6’ carbons in a ring system, two double bonds and also a nitro group as substituent. The ‘X’ is

For a compound to be aromatic, it must have (4n+2)π electrons.

Here two double bonds are present, 4π electrons are present in the compound.

Therefore, it is anti-aromatic.

Homocyclic compounds are ring structures that consist only of carbon atoms within the ring. A nitro group is attached to the ring system as a substituent, so, C₆​H₇​NO₂​ is homocyclic but not aromatic.